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Simplifying 2(x + -2) + -4 = 2(2x + -5) Reorder the terms: 2(-2 + x) + -4 = 2(2x + -5) (-2 * 2 + x * 2) + -4 = 2(2x + -5) (-4 + 2x) + -4 = 2(2x + -5) Reorder the terms: -4 + -4 + 2x = 2(2x + -5) Combine like terms: -4 + -4 = -8 -8 + 2x = 2(2x + -5) Reorder the terms: -8 + 2x = 2(-5 + 2x) -8 + 2x = (-5 * 2 + 2x * 2) -8 + 2x = (-10 + 4x) Solving -8 + 2x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 2x + -4x = -10 + 4x + -4x Combine like terms: 2x + -4x = -2x -8 + -2x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -2x = -10 + 0 -8 + -2x = -10 Add '8' to each side of the equation. -8 + 8 + -2x = -10 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -10 + 8 -2x = -10 + 8 Combine like terms: -10 + 8 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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